MaplePrimes Questions

Maple gives me the incorrect answer to the hundredth place. (

>                        27330.47804

I tried using an exact fraction 15000*(1+(6/100)/365)^(10*365) as well.

How can I draw together the function f(x,y)=(x.y^2)+1 and its tangent plane at the point (2,1,f(1,2)) in each of the following rectangles? 

(Note that the equation of the tangent plane at the given point is z=x+4y-3)

a. 2<=x<=3 and 1<=y<=3

b. 2<=x<=2.1 and 1<=y<=1.2

c. 2<=x<=2.01 and 1<=y<=1.02

I can  this equation.

restart; c__v := 1.2; `&tau;__q` := 8.5*10^(-12); `&tau;__T` := 90.0*10^(-12); rho := 1000; k := 10







k*(diff(T(x, t), x, x))+k*`&tau;__T`*(diff(T(x, t), t, x, x)) = rho*c__v*(diff(T(x, t), t))+(diff(T(x, t), t, t))*c__v*rho*`&tau;__q`+(1/2)*c__v*rho*`&tau;__q`^2*(diff(T(x, t), t, t, t))

10*(diff(diff(T(x, t), x), x))+0.9000000000e-9*(diff(diff(diff(T(x, t), t), x), x)) = 1200.0*(diff(T(x, t), t))+0.1020000000e-7*(diff(diff(T(x, t), t), t))+0.4335000000e-19*(diff(diff(diff(T(x, t), t), t), t))


Boundary condition:

T(0, t) = 300; T(10, t) = 300




T(x, 0) = 300; (D[1](T))(x, 0) = 0, (D[2](T))(x, 0) = 0

(D[1](T))(x, 0) = 0, (D[2](T))(x, 0) = 0







Greetings everybody!

I am facing a strange problem. Dissolve/numeric seems to provide a solution and gives no error. However, when I try to plot the solution, Maple gives an error. Please guide me how to get rid of this error and how to plot the graph?
Please see the attatched file.

Thanking in anticipation.


Jugdement := proc (F, P)

local f, N1, N2, i, j, k, q, LTF, LTPj;

N1 := nops(F); N2 := numelems(P);

for i to N1 do

LTF := LeadingTerm(F, plex(w, t, s, x, y, z));

for j to N2 do

LTPj := LeadingTerm(P[j], plex(w, t, s, x, y, z));

f := divide(LTF[2], LTPj[2], 'q');

if f = true then

k := j;


end if

end do;

if f = true then


end if;

if f = false then

F := F-LTF[1]*LTF[2]

end if

end do;

return k, f, q, P[k], LTF[1]

end proc:

F := x^2+y^2+z^2;
                             2    2    2
                       F := x  + y  + z 
P := {z, x*z, y*x};
                       P := {z, x z, y x}
Jugdement(F, P);
Error, (in Jugdement) illegal use of a formal parameter

I want to know what is the problem?



İİİ) R(X,Y)Z = D DZ - DDZ - D[X,Y] Z

How to improve menu speed in Maple 2016?

I am using Maple 2016, when I right click the equation, it really takes a long time to show the menu. It seems that the CPU usage and Memory usage is low, it should be fast as it is only a showing menu action, what's wrong with that?


The help page TimeSeriesAnalysis, ExponentialSmoothingModel contains an error.
The command that generates the output (7) should be
esm2 := ExponentialSmoothingModel(seasonal={"A","M"},constraints=admissible)
instead of
esm2 := ExponentialSmoothingModel(seasonal={A,M},constraints=admissible)

PS : there is no tag relative to TimeSeriesAnalysys

Hello! How would I do the following question using the maple program? I am not sure about the syntax. Thank you!

Express (cos^6)*t in terms of cosines and sines of multiples of t for

(cos^6)*t = a*cos(6*t) + b*cos(4*t) + c*cos(2*t) + 5/16

Where a = ?, b = ?, and c = ?



  As we  known, in Graphtheory , a loop is an edge that joins a vertex to itself (for example  fig1 vertex1) and multiple edges (for example Fig2)are two or more edges that join the same two vertices.  But in Maple,  G := Graph({{a, b}, {a, c}, {b, c}}). The Edges(G) function returns a set  (not list )of the edges of G.  So, for example I can't create loop{1,1} by G:=Graph({{1,1},{1,2},{1,5},{2,5},{2,3},{5,4},{3,4},{4,6}})   . But in my research, I consider a graph which exist loops or multiple edges. I want to create  it  .How should I do?  Thanks in advance.

my code like this



This may be a stupid question, but I am having elementary trouble with pdsolve.

I have the following pde system:


Trying to solve it:


I get this error message:

Error, (in pdsolve/sys) too many arguments; some or all of the following are wrong: [{f(x, xp)}, handlenonrationalfunctionsofdependentvariables = false]

I don't understand any of this; can someone enlighten me?




how can I solve triple integral below in maple, thanks





My Maple Worksheets (not Maple Documents) have lots of explanetory Text blocks [..... surounding executable Math blocks ([> ..... I often insert mathematical symbols, most commonly subscripted variables, in these Text blocks.  For a simple example, consider the text block entered as

[This is a test of a subscripted variable "CTL-R" h__0 "CTL-T" in a text block.

The "CTL-R" (quotes are not actually entered) is the short cut to go into math mode, and "CTL-T" exits math mode and returns to text mode and the double underscore produces an atomic subscripted variable.

The text block actually will look like

[This is a test of a subscripted variable h0 in a text block.

The problem occurs when I reexecute the worksheet. The Text block actually produces output labeled with an equation number. For my simple example above the Text block becomes

[This is a test of a subscripted variable h0 in a text block.

[                                              h0                                                   (1)


where the two lines started by [ are actually merged with one expanded [ for the Text block with its output. To get rid of the unwanted output, I have to put my curser over the h0 that is in the Text body (not the output h0) and hit "Shift-F5". The output h0 with its equation number disappears.  If there are a number of simple math expressions in a text block, I have to process them one at a time with "Shift-F5". This takes up a lot of time. With earlier Maple versions (~2015 or earlier) I used to fly through Text blocks using the shortcuts "Ctl-R" and "Ctl-T" and these Text blocks produced no output when the worksheet was reexecuted. 

Starting with Maple 2016 I could enter math expressions in Text blocks using the shortcuts, but I could not copy and paste  a Text block with inline math expressions without the expressions becoming "live" in the copied block.  Starting with Maple 2017 all my Text boxes with math expressions began executing the math and producing output.

I gave up on Maple 2017 and 2018.  I have finally made the jump from Maple 2016 to Maple 2019, in part, because I finally discovered the "Shift-F5" trick to make math expressions in a Text block inactive.

Does anyone know how to make the default behaviour of Maple with math expressions in a Text block to be "Don't execute the math and produce output in the Text block"?

I would post an actual example worksheet, except I have never been successful whenever I have tried to upload a worksheet. I hope my description above is adequate.

Any help will be greatly appreciated.  Neill Smith




restart; with(VectorCalculus)

r := `<,>`(sin(t), cos(t), t)

Vector(3, {(1) = 0.2739493386e-115+0.2739493386e-115*I, (2) = 1.0-0.7504824014e-231*I, (3) = t})






So I am calculating the absorption coefficient for dry air. When I perform the calculation I get a very small number that displays as "0.". Is there any way I can get maple to show all of the digits of this small number? I tried evalf() but continue to get the same result of "0.". 

Anything would help. Thanks! 

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